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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 '0<d9OlJ}  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Pf*6/7S:  
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    模型 ]P4WfV d  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 2w?q7N%  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ]g_VPx"  
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    光源 %( )d$.F  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 t*{L[c9.Uq  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 q t"D!S_  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ?w3RqF@}  
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    图2. 字母F光源的设定方法光 L\:|95Yq  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 @CprC]X  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 *t@A-Sn  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 m%'nk"p9  
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    图5. 视网膜重点采样规格设定
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    脚本 KX) n+{   
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 7]=&Q4e4  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 X! d-"[  
    余下的脚本计算与屈光度有关的所有参数。 (gt\R}  
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    分析 _v!7 |&\  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .OPknC  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 &@~K8*tmK  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 0~|0D#klB  
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    Dim entity As T_ENTITY c&['T+X  
    Dim op As T_OPERATION v%tjZ5x  
    Dim mat As T_MODELMATERIAL Y teIp'T  
    Dim A As Double l6M?[  
    Dim pupilDiam As Double u I e^Me  
    Dim eID As Long u 3WU0Z`  
    Dim parID As Long ^<;W+dWdU  
    Dim count As Integer _@5Xmr  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5Xq+lLW>  
    Dim tlens As Double, nlens As Double ~ua(Qm  
    Dim curv As Double, conic As Double }$ y.qqG  
    Dim ok As Long |J $A%27  
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    Sub Main u[a-9^&g  
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        '用户输入对话框 x]^d'o:cDP  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 FFT)m^4p.  
            TextBox 220,21,40,21,.TextBox1 'default: 0 lrrTeE*  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,NO[Piok  
            OKButton 40,91,90,21 YPK@BmAdE  
            CancelButton 190,91,90,21 5'!fi]Z  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 z)Rkd0/X  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Kz'GAm\  
        End Dialog ak7%  
        Dim dlg As UserDialog K1 f1 T  
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        ok = Dialog (dlg) kQ\GVI11?  
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        If ok=0 Then    'cancel button was pressed NlYuT+  
            Print "Execution cancelled." |nMjv]#  
            End 7%h;To-<6  
        End If b9g2mWL\T  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 1P)K@j  
        If dlg.TextBox1 = "" Then 4LSs WO<@  
            A = 0           'Default accommodation M$x,B#b  
        Else (Mv~0ShakO  
            A = CDbl(dlg.TextBox1) Dj/Hz\  
        End If L15)+^4n  
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        If dlg.TextBox2 = "" Then 1^_W[+<S/  
            pupilDiam = 4   'Default pupil diameter F:zmO5L5  
        Else 7mtx^  
            pupilDiam = CDbl(dlg.TextBox2) enk`I$Xx  
        End If O>E}Lu;|  
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        Print " " |s /)lA:9  
        Print "Accommodation = " & A & " Diopters" FQek+[ox  
        Print "Pupil Diameter = " & pupilDiam & " mm" g0f4>m  
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        ' Calculate new parameters with accommodation h-p}Qil,  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness XT/t\\Z`U  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens @tT`s^e  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens  II'.vp  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens <*vR_?!  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens c@A.jc  
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        tlens = 3.767 + 0.04*A                  'Lens thickness @@ j\OR  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction c{^1`(#?  
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        'Adjust parameters to account for accommodation :@(1~Hm  
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        '************************************************************************* a3n Wt  
        'Aqueous thickness (Position of Lens) p$"~v A .  
        '************************************************************************* 5$i(f8*  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ",apO  
        GetCustomElement eID, entity Pk&=\i<  
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        parID = FindFullName( "Geometry.Arizona Eye" ) "s@Hg1  
    "9s}1C;Me  
        ' Delete any shift(s) in z LYAGpcG  
        count = 0 } :?*n:g5  
        While GetOperationCount(eID)>count 9q]f]S.L  
            GetOperation eID, count, op Zzlt^#KLx  
            If op.Type="ShiftZ" Then PU%Zay  
                DeleteOperation eID,count P%B|HnG^  
                count=count-1 <\nM5-wR  
            End If 42e[OG-  
            count=count+1 ^/%o I;O{  
        Wend ]prw=rD  
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        'Set new shift in e'~Qe_  
        op.Type = "ShiftZ" H/t0#  
        op.val1 = taq H-t$A, [  
        op.parent = parID YdV.+v(30  
        AddOperation eID, op 75>%!mhM  
        Print "Set aqueous humor thickness = " & taq-0.55 XN-1`5:4I  
    _9-;35D_  
        '************************************************************************* )4o8SF7lz  
        'Radius and conic constant of anterior lens [#wt3<d`)  
        '************************************************************************* S%H"i y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xqdkc^b  
        GetConic eID, entity, curv, conic A46dtFD{  
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        SetConic eID, entity, 1/Rant, CCant Qraq{'3  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #++:`Z  
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        '************************************************************************* =2*2 $  
        'Radius and conic constant of posterior lens F.(W`H*1+  
        '************************************************************************* }2Ge??!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -7oIphJ=\  
        GetConic eID, entity, curv, conic },<Y \  
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        SetConic eID, entity, 1/Rpost, CCpost S^q^=q0F  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost uJ|,-"~F  
    "4KyJ;RA*  
        '************************************************************************* E Id>%0s5  
        'Lens thickness (Position of posterior lens surface) HI1|~hOb'  
        '************************************************************************* p%Q{Rqc)  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ">B&dNrt  
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        ' Delete any z-shift(s) zn'Mi:O'p  
        count = 0 Lcg1X3$G  
        While GetOperationCount(eID)>count .: wg@Z  
            GetOperation eID, count, op AN,3[Sh  
            If op.Type="ShiftZ" Then !9qw  
                DeleteOperation eID,count 1C=42ZZ&2  
                count=count-1 F:Vl\YZ  
            End If )#Ecm<.^  
            count=count+1 -0'< 7FSQ  
        Wend >y}> 5kv  
    dtQ3iuV %  
        'Set new z-shift ?y%Mm09  
        op.Type = "ShiftZ" <%4pvn8d?&  
        op.val1 = tlens $v8T%'p+  
        op.parent = parID @CPkP  
        AddOperation eID, op PTpfa*t  
        Print "Set lens thickness = " & tlens }WR@%)7ay  
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        '************************************************************************* _4{3^QZq5  
        'Lens index of refraction nbw8YO(=  
        '************************************************************************* EnMc9FN(y  
        eID = FindMaterial( "Lens" ) Vs>e"czfm/  
        GetModelMaterial eID, mat J,h'eY5  
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        mat.Nd = nlens E)'T;%  
        SetModelMaterial eID, mat .F/l$4CQ  
        Print "Set lens index of refraction = " & nlens .lgm"  
    #pD=TMefC  
        '************************************************************************* ) [)1  
        'Pupil diameter D.F1^9Q  
        '************************************************************************* j<?k$ 8H  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) W9GjUswv!  
    9y\Ik/  
        'Adjust pupil diameter (trimming volume inner hole) 25vq#sS]  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =m;cy0))  
    !( _qM  
        ' Adjust pupil location to just in front of the lens 7*+tG7I @  
        parID = FindFullName( "Geometry.Arizona Eye" ) x` 4|^ u  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) | m#"  
        count = 0 meD83,L~N  
        While GetOperationCount(eID)>count h?QGJ^#8  
            GetOperation eID, count, op Vvn~G.&)  
            If op.Type="ShiftZ" Then "NV~lJS%  
                DeleteOperation eID,count SphP@J<ONW  
                count=count-1 e9F+R@8  
            End If -9 |)O:  
            count=count+1 [L2N[vy;  
        Wend !'bZ|j%  
        op.Type = "ShiftZ" AB.ZmR9|  
        op.val1 = taq-0.01  o^d  
        op.parent = parID 7%|HtBXv^  
        AddOperation eID, op $ 3Sm?  
    9 b&HqkXX  
        Print "Set pupil diameter = " & pupilDiam aqP"Y9l  
    m4c2WY6k  
        'Update AZ Eye subassembly Description ()_^:WQO?  
        eID = FindFullName( "Geometry.Arizona Eye" ) <@c9S,@t  
        GetEntity eID, entity tY`%vI [  
        entity.Description = "Accommodation = " & A & "D" o3:h!(#G  
        SetEntity eID, entity G'iE`4`2  
    U uSCqI};  
        Update w!l*!G  
        Print "DONE!" 7] >z e  
         .|LY /q\A  
    End Sub p+F>+OQ*  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: kI~; 'M  
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    Accommodation = 4 Diopters )%I62<N,z  
    Pupil Diameter = 4 mm l=>FoJf!*<  
    Set aqueous humor thickness = 2.81 WQNFHRfO*n  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 0w".o!2\U{  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 U5;Y o+z  
    Set lens thickness = 3.927 :w9s bW  
    Set lens index of refraction = 1.42672 YZc{\~d  
    Set pupil diameter = 4 ~#:R1~rh\e  
    DONE! E(an5x/r  
     
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